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10. Find the zeroes of the following polynomials by factorization method and verify the relations between the zeroes and the coefficients of the polynomials: (i) 4𝑥 2 − 3𝑥 − 1 (ii) 5𝑡 2 + 12𝑡 + 7 (iii) 2𝑥 2 + 7 2 𝑥 + 3
Asked by luckykumar.com2015 | 22 Jun, 2020, 11:08: AM
(i)
4x2 - 3x - 1
= 4x2 - 4x + x - 1
= 4x (x - 1) + (x - 1)
= (4x + 1)(x - 1)
4x + 1 = 0 or x - 1 = 0
x = -1/4  or  x = 1
Sum of zeroes = 1 - 1/4 = 3/4
Product of zeroes = 1(-1/4) = -1/4
Hence verified.

Note:- One question can be solved per query.
Answered by Renu Varma | 22 Jun, 2020, 11:25: AM

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